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Paper detail

Discrete Feynman-Kac formulas for branching random walks

Branching random walks are key to the description of several physical and biological systems, such as neutron multiplication, genetics and population dynamics. For a broad class of such processes, in this Letter we derive the discrete Feynman-Kac equations for the probability and the moments of the number of visits $n_V$ of the walker to a given region $V$ in the phase space. Feynman-Kac formulas for the residence times of Markovian processes are recovered in the diffusion limit.

preprint2012arXivOpen access
Andrea ZoiaEric DumonteilAlain Mazzolo
cond-mat.stat-mech
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Andrea ZoiaEric DumonteilAlain Mazzolo

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